Use the Leading Coefficient Test to determine the end behavior of the polynomial function. Then use this end
-$$f ( x ) = - 5 x ^ { 3 } - 3 x ^ { 2 } + 4 x + 3$$
A) rises to the left and falls to the right
B) falls to the left and rises to the right
C) falls to the left and falls to the right
D) rises to the left and rises to the right

Question

Quizplus · Accepted Answer

The leading term of the polynomial $f(x) = -5x^3 - 3x^2 + 4x + 3$ is $-5x^3$. Since the coefficient of the leading term is negative and the degree is odd (3), the end behavior is that the graph rises to the left and falls to the right.

Use the Leading Coefficient Test to Determine the End Behavior f(x)=−5x3−3x2+4x+3f ( x ) = - 5 x ^ { 3 } - 3 x ^ { 2 } + 4 x + 3f(x)=−5x3−3x2+4x+3

Use the Leading Coefficient Test to Determine the End Behavior $f ( x ) = - 5 x ^ { 3 } - 3 x ^ { 2 } + 4 x + 3$